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Finding the Third Proportional to 306,540 and 670,104

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Solution

The third proportional to 306,540 and 670,104 is: 1,464,863.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,540 : 670,104 = 670,104 : x
  2. Step 2: Convert to fraction form
    306,540/670,104 = 670,104/x
  3. Step 3: Cross multiply
    306,540x = 670,104 × 670,104
  4. Step 4: Simplify right side
    306,540x = 449,039,370,816
  5. Step 5: Solve for x
    x = 449,039,370,816/306,540
  6. Step 6: Final answer
    x = 1,464,863.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.